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Finding the Fourth Proportional to 538.92, 813.51 and 533.16

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Solution

The fourth proportional to 538.92, 813.51 and 533.16 is: 804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.92 : 813.51 = 533.16 : x
  2. Step 2: Convert to fraction form
    538.92/813.51 = 533.16/x
  3. Step 3: Cross multiply
    538.92x = 813.51 × 533.16
  4. Step 4: Simplify right side
    538.92x = 433,730.99
  5. Step 5: Solve for x
    x = 433,730.99/538.92
  6. Step 6: Final answer
    x = 804.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.